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The estimated amplitudes are comparable, while derived phases differ by a few days.
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Both internal and external loss of entrainment are also seen in the derived phase model.
Thus, with sufficiently weak coupling, entrainment can be studied in the simpler derived phase model.
Comparing the entrainment results for the neural and derived phase models indicates that the derived phase model is able to capture all of the essential entrainment properties we analyzed.
In both the neural and the derived phase models, we chose parameter sets based on previous work [15, 29].
Fig. 8 Entrainment ranges for the neural and derived phase models as a function of the forcing strength.
This further illustrates that the derived phase model preserves entrainment information as regards the more biologically detailed neural model.
Although both chains of coupled oscillators, the neural and derived phase models contain different levels of biological detail in comparison to the simpler sinusoidal phase model.
Entrainment ranges are computed for both the neural model and the derived phase model as a function of the forcing strength using our continuation algorithm.
We numerically compute entrainment ranges as a function of both stimulus position and forcing strength for the neural and derived phase models.
If not, the derived phase model would serve to motivate future analysis that extends the analysis of [15] to a wider range of coupling and forcing functions.
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